So this project started off as a light that I could push a button and last one minute.
I originally made this to solve the problem of the hallway to my flat always being dark and the time I needed to get my shoes off and open the door was about one minute worst case.
Eventually I would move this into its current place in the bathroom for a late night light.
I made a video of the process of design from doing the circuit design to working prototype.
If you notice in the video, I timed the light and it was less than a minute.
That is because the LED will only light when it has enough voltage for forward conduction and to make this light last long enough we would have to actually calculate the time until that cutoff point to nail the 60sec.
But 44 seconds works extremely well.